All articles (226)



A

  1. A Level and beyond
  2. About
  3. Adjacency matrices
  4. Advanced trigonometry
  5. Angle at the centre of a circle is twice the angle at the circumference
  6. Angle in a semicircle is 90 degrees
  7. Angles in the same segment of a circle are equal
  8. Area and circumference of circles
  9. Area and perimeter
  10. Area and perimeter of quadrilaterals
  11. Area and perimeter of triangles
  12. Argand diagrams
  13. arcosh function
  14. arsinh function
  15. artanh function

B

  1. Bayes' theorem
  2. Bifurcation and chaos
  3. Binary addition, subtraction and negative numbers
  4. Binary numbers
  5. Binary numbers
  6. Boolean algebra

C

  1. Calculating a Maclaurin series
  2. Cantor set
  3. Cartesian equation of a parabola
  4. Cartesian equation of a rectangular hyperbola
  5. Cartesian equation of ellipse
  6. Cartesian product
  7. Circle geometry
  8. Coin rotation paradox
  9. Collage theorem
  10. Combinations
  11. Combining logic gates
  12. Complex number arithmetic
  13. Complex number trigonometry functions
  14. Complex numbers
  15. Complex polynomials
  16. Complex powers and roots of complex numbers
  17. Computer science
  18. Congruent and similar shapes
  19. Congruent shapes
  20. Congruent triangles
  21. Coordinate systems
  22. Cosine rule
  23. Countable and uncountable sets
  24. Creating a subtractor with logic gates
  25. Creating an adder with logic gates
  26. Cube
  27. Cube surface area and net
  28. cosech function
  29. cosh function
  30. coth function

D

  1. D-type flip-flops
  2. Decagons - polygons with 10 sides
  3. Derivative of sine, geometric proof
  4. Derivative of the exponential function
  5. Determinants
  6. Differentiation
  7. Differentiation - L'Hôpital's rule
  8. Differentiation - the chain rule
  9. Differentiation - the product rule
  10. Differentiation - the quotient rule
  11. Differentiation from first principles - a to the power x
  12. Differentiation from first principles - x²
  13. Dijkstra's algorithm
  14. Dodecagons - polygons with 12 sides
  15. Downloadable classroom resources
  16. Drawing Sierpinski triangles
  17. Drunk man and keys problem

E

  1. Einstein's proof of Pythagoras' theorem
  2. Ellipses
  3. Error page not found
  4. Escape-time fractals
  5. Euler's formula - proof
  6. Exponential and logarithm functions

F

  1. Factorials
  2. Formula for e
  3. Fractal dimension of self-similar fractals
  4. Fractals
  5. Fractals

G

  1. GCSE
  2. GCSE graphs
  3. GCSE measures
  4. Gabriel's horn
  5. Geometry
  6. Geometry basic rules
  7. Gradient of a line
  8. Graph theory
  9. GraphicMaths
  10. Graphs
  11. Graphs of exponential functions
  12. Graphs of sloping lines through the origin
  13. Greatest common divisor (GCD) of two numbers

H

  1. Hendecagons - polygons with 11 sides
  2. Heptagons - polygons with 7 sides
  3. Hexagons - polygons with 6 sides
  4. Horizontal, vertical and diagonal straight line graphs
  5. Hyperbolas
  6. Hyperbolic angle
  7. Hyperbolic functions

I

  1. Imaginary and complex numbers
  2. Integration
  3. Integration by substitution
  4. Interior and exterior angles of a polygon
  5. Introduction to Fractals
  6. Introduction to eigenvectors
  7. Introduction to statistics
  8. i to the power i

K

  1. Koch snowflake

L

  1. L system Koch curve
  2. L system trees and ferns
  3. L systems
  4. Lexicographic order
  5. Line symmetry
  6. Loci
  7. Locus of points a fixed distance from a given line
  8. Locus of points a fixed distance from a given point
  9. Locus of points an equal distance between 2 lines
  10. Locus of points an equal distance between 2 points
  11. Logic
  12. Logic gates
  13. Lowest common multiple (LCM) of two numbers

M

  1. Maclaurin and Taylor series
  2. Maclaurin series of the exponential function
  3. Maclaurin series of the sine function
  4. Mathematical models in mechanics
  5. Matrices
  6. Matrix inverse
  7. Mean value theorem for integrals
  8. Mechanics
  9. Modulus-argument form of complex numbers
  10. Monty Hall problem
  11. More quadrilaterals

N

  1. Negative and fractional exponents
  2. Newton Fractal
  3. Nonagons - polygons with 9 sides
  4. Normal distribution
  5. Number theory
  6. Numerical methods
  7. n-gons - polygons with any number of sides

O

  1. Octagons - polygons with 8 sides
  2. Opposite angles in a cyclic quadrilateral add up to 180°
  3. Other types of polygon

P

  1. Painter's paradox
  2. Parabola example
  3. Parabola focus and directrix
  4. Parabolas
  5. Parabolas - effect of parameter 'a'
  6. Paradoxes
  7. Parallel lines
  8. Parametric equation of ellipse
  9. Parametric equations
  10. Parts of a circle
  11. Pentagons - polygons with 5 sides
  12. Permutations
  13. Permutations and combinations
  14. Perpendicular bisector of a chord
  15. Pi isn't about circles
  16. Pigeonhole principle
  17. Polar coordinates
  18. Polar curve constant r
  19. Polar curve constant theta
  20. Polar curve r proportional to theta
  21. Polygons
  22. Potato paradox
  23. Prime factors of a number
  24. Probability
  25. Probability distributions
  26. Pure mathematics
  27. Pythagoras
  28. Pythagoras' theorem
  29. Pythagoras' theorem proof
  30. Pythagorean triples

Q

  1. Quadrilateral family tree
  2. Quadrilaterals

R

  1. Radians
  2. Raven paradox
  3. Recreational maths
  4. Rectangular hyperbola example
  5. Regular polygons
  6. Regular tessellations
  7. Root 2 is irrational - proof by prime factors
  8. Rotational symmetry
  9. Rules of exponents
  10. Russell's paradox

S

  1. Second derivative and sketching curves
  2. Semiprocal numbers - z to the power i
  3. Set theory
  4. Similar shapes
  5. Similar triangles
  6. Similar triangles proof
  7. Simple flip-flops
  8. Sine rule
  9. Slope of a curve
  10. Solving equations numerically
  11. Solving equations using interval bisection
  12. Solving equations using linear interpolation
  13. Solving equations using the Newton-Raphson method
  14. Solving simultaneous equations with matrices
  15. Standard curves in polar coordinates
  16. Star polygons
  17. Statistics
  18. Straight line graphs
  19. sech function
  20. sinh function

T

  1. Tangent and radius of a circle meet at 90°
  2. Tessellations and symmetry
  3. The seven bridges of Königsberg
  4. Transformations
  5. Translation
  6. Travelling salesman problem
  7. Triangles
  8. Trigonometry
  9. Trigonometry and Pythagoras
  10. Trinary numbers
  11. Two radii form an isosceles triangle
  12. Two tangents from a point have equal length
  13. tanh function

V

  1. Videos

W

  1. What is a matrix?
  2. What is e?
  3. What is integration
  4. Why are the trig functions called sine, cosine and tangent?
  5. Why does complex number multiplication cause rotation?

Other

  1. 2 to the power π - exponential function for an irrational value of x
  2. 2D transformation matrices
  3. 3D geometry


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